
Mathematics Subject Classification Complete Set of 2Digit Classifications Used  00 (1940 now) General
 01 (1940 now) History and biography [See also the classification number 03 in the other sections]
 02 (19401979) Logic and foundations
 03 (1980 now) Mathematical logic and foundations
 04 (19591999) Set theory [See also 03Exx]
 05 (1940 now) Combinatorics [For finite fields, see 11Txx]
 06 (1940 now) Order, lattices, ordered algebraic structures [See also 18B35]
 08 (1959 now) General algebraic systems
 09 (19401972) Classical algebra
 10 (19401984) Number Theory
 11 (1985 now) Number theory
 12 (1959 now) Field theory and polynomials
 13 (1959 now) Commutative rings and algebras
 14 (1940 now) Algebraic geometry
 15 (1940 now) Linear and multilinear algebra; matrix theory
 16 (1959 now) Associative rings and algebras [For the commutative case, see 13XX]
 17 (1940 now) Nonassociative rings and algebras
 18 (1940 now) Category theory; homological algebra [For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology]
 19 (1986 now) $K$theory [See also 16E20, 18F25]
 20 (1940 now) Group theory and generalizations
 21 (19401958) Topological algebraic structures
 22 (1940 now) Topological groups, Lie groups [For transformation groups, see 54H15, 57Sxx, 58XX. For abstract harmonic analysis, see 43XX]
 26 (1940 now) Real functions [See also 54C30]
 27 (19401958) Analysis
 28 (1940 now) Measure and integration [For analysis on manifolds, see 58XX]
 30 (1940 now) Functions of a complex variable [For analysis on manifolds, see 58XX]
 31 (1940 now) Potential theory [For probabilistic potential theory, see 60J45]
 32 (1940 now) Several complex variables and analytic spaces [For infinitedimensional holomorphy, see 46G20, 58B12]
 33 (1940 now) Special functions ( 33XX deals with the properties of functions as functions) [For orthogonal functions, see 42Cxx; for aspects of combinatorics see 05Axx; for numbertheoretic aspects see 11XX; for representation theory see 22Exx]
 34 (1940 now) Ordinary differential equations
 35 (1940 now) Partial differential equations
 36 (19401958) Differential equations, operational calculus
 37 (2000 now) Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70XX]
 39 (1940 now) Difference and functional equations
 40 (1940 now) Sequences, series, summability
 41 (1940 now) Approximations and expansions [For all approximation theory in the complex domain, see 30Exx, 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42Axx, 42A10 and 42A15; for numerical approximation, see 65Dxx]
 42 (1940 now) Fourier analysis
 43 (1973 now) Abstract harmonic analysis [For other analysis on topological and Lie groups, see 22Exx]
 44 (1940 now) Integral transforms, operational calculus [For fractional derivatives and integrals, see 26A33. For Fourier transforms, see 42A38, 42B10. For integral transforms in distribution spaces, see 46F12. For numerical methods, see 65R10]
 45 (1940 now) Integral equations
 46 (1940 now) Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]
 47 (1959 now) Operator theory
 48 (19401958) Geometry
 49 (1940 now) Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93XX]
 50 (19401979) Geometry [For algebraic geometry, see 14XX.]
 51 (1980 now) Geometry [For algebraic geometry, see 14XX]
 52 (1940 now) Convex and discrete geometry
 53 (1940 now) Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx]
 54 (1940 now) General topology [For the topology of manifolds of all dimensions, see 57Nxx]
 55 (1940 now) Algebraic topology
 56 (19401958) Topology
 57 (1959 now) Manifolds and cell complexes [For complex manifolds, see 32Qxx]
 58 (1973 now) Global analysis, analysis on manifolds [For geometric integration theory, see 49Q15]
 60 (1940 now) Probability theory and stochastic processes [For additional applications, see 11Kxx, 62XX, 90XX, 91XX, 92XX, 93XX, 94XX]
 62 (1940 now) Statistics
 65 (1940 now) Numerical analysis
 68 (1940 now) Computer science [For papers involving machine computations and programs in a specific mathematical area, see Section 04 in that area]
 69 (19401972) General applied mathematics
 70 (1940 now) Mechanics of particles and systems [For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82XX]
 71 (19401958) Mechanics
 73 (19401999) Mechanics of solids
 74 (2000 now) Mechanics of deformable solids
 76 (1940 now) Fluid mechanics [For general continuum mechanics, see 74Axx, or other parts of 74XX]
 78 (1940 now) Optics, electromagnetic theory [For quantum optics, see 81V80]
 79 (19401958) Mathematical physics, physical applications
 80 (1940 now) Classical thermodynamics, heat transfer [For thermodynamics of solids, see 74A15]
 81 (1940 now) Quantum theory
 82 (1940 now) Statistical mechanics, structure of matter
 83 (1940 now) Relativity and gravitational theory
 84 (19401958) Relativity, astronomy
 85 (1940 now) Astronomy and astrophysics [For celestial mechanics, see 70F15]
 86 (1940 now) Geophysics [See also 76U05, 76V05]
 90 (1940 now) Operations research, mathematical programming
 91 (2000 now) Game theory, economics, social and behavioral sciences
 92 (1940 now) Biology and other natural sciences
 93 (1940 now) Systems theory; control [For optimal control, see 49XX]
 94 (1940 now) Information and communication, circuits
 97 (2000 now) Mathematics education
 99 (19401958) Miscellaneous
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